449279449632 has 576 divisors, whose sum is σ = 1480868573184. Its totient is φ = 133059179520.

The previous prime is 449279449621. The next prime is 449279449643. The reversal of 449279449632 is 236944972944.

It is a happy number.

449279449632 is a `hidden beast` number, since 4 + 4 + 9 + 27 + 94 + 496 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (449279449621) and next prime (449279449643).

It is a self number, because there is not a number n which added to its sum of digits gives 449279449632.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 962054263 + ... + 962054729.

It is an arithmetic number, because the mean of its divisors is an integer number (2570952384).

Almost surely, 2^449279449632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449279449632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740434286592).

449279449632 is an abundant number, since it is smaller than the sum of its proper divisors (1031589123552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

449279449632 is a wasteful number, since it uses less digits than its factorization.

449279449632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 823 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 63.

The spelling of 449279449632 in words is "four hundred forty-nine billion, two hundred seventy-nine million, four hundred forty-nine thousand, six hundred thirty-two".